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212110000120 = 23573670310837
BaseRepresentation
bin1100010110001010111…
…1011011111111111000
3202021111022101102122101
43011202233123333320
511433400130000440
6241235245233144
721216166152544
oct3054257337770
9667438342571
10212110000120
1181a56624567
12351372627b4
13170041b9115
14a3a2574a24
1557b66c269a
hex3162bdbff8

212110000120 has 64 divisors (see below), whose sum is σ = 483901960320. Its totient is φ = 83661548544.

The previous prime is 212110000103. The next prime is 212110000121. The reversal of 212110000120 is 21000011212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 212110000097 and 212110000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212110000121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19567342 + ... + 19578178.

It is an arithmetic number, because the mean of its divisors is an integer number (7560968130).

Almost surely, 2212110000120 is an apocalyptic number.

212110000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110000120 is an abundant number, since it is smaller than the sum of its proper divisors (271791960200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212110000120 is a wasteful number, since it uses less digits than its factorization.

212110000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17624 (or 17620 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212110000120 its reverse (21000011212), we get a palindrome (233110011332).

The spelling of 212110000120 in words is "two hundred twelve billion, one hundred ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 6703 10837 13406 21674 26812 33515 43348 53624 54185 67030 86696 108370 134060 216740 268120 433480 489319 791101 978638 1582202 1957276 2446595 3164404 3914552 3955505 4893190 6328808 7911010 9786380 15822020 19572760 31644040 72640411 145280822 290561644 363202055 581123288 726404110 1452808220 2905616440 5302750003 10605500006 21211000012 26513750015 42422000024 53027500030 106055000060 212110000120